This spiritual seem to have been recorded much later than the slavery days. According to the Cleveland Public Library's Index to Negro Spirituals [of thirty popular collections published up to 1937] (1991), the only book containing "Soon I will be done" is R.N. Dett, Religious Folk-Songs of the Negro, As Sung at Hampton Institute (1927, p. 234). This is a revised and enlarged edition as a separate book of the appendix to M.F. Armstrong, et al.'s Hampton and Its Students (1874). I have the reprint of the 1920 "new edition," where this song is not contained. The Index doesn't mention other title variants, so very likely no other versions are recorded in those "thirty collections." There is, however, an earlier version (in Jack Snyder, American Negro Spirituals, 1926) in Erskine Peters, Lyrics of the Afro-American Spiritual (Garland, 1993). I don't have Work's Folk Songs of the American Negro. Horace Clarence Boyer, in his notes to the Mahalia Jackson CD (Gospels, Spirituals, & Hymns, Columbia/Legacy C2K 47083), says "TROUBLED OF THE WORLD: The popularity of this well-known spiritual was, due to, until 1959, to the concert choral arrangement by William Levi Dawson." Dawson's (b. 1899) arrangement was probably in 1930s, that is later than Dett. It is possible that this song had other titles or "floating verses" common to other spirituals.

~Masato